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Simplifying 5x(n + 2) = -3x(n + -4) Reorder the terms: 5x(2 + n) = -3x(n + -4) (2 * 5x + n * 5x) = -3x(n + -4) Reorder the terms: (5nx + 10x) = -3x(n + -4) (5nx + 10x) = -3x(n + -4) Reorder the terms: 5nx + 10x = -3x(-4 + n) 5nx + 10x = (-4 * -3x + n * -3x) Reorder the terms: 5nx + 10x = (-3nx + 12x) 5nx + 10x = (-3nx + 12x) Solving 5nx + 10x = -3nx + 12x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3nx' to each side of the equation. 5nx + 3nx + 10x = -3nx + 3nx + 12x Combine like terms: 5nx + 3nx = 8nx 8nx + 10x = -3nx + 3nx + 12x Combine like terms: -3nx + 3nx = 0 8nx + 10x = 0 + 12x 8nx + 10x = 12x Add '-10x' to each side of the equation. 8nx + 10x + -10x = 12x + -10x Combine like terms: 10x + -10x = 0 8nx + 0 = 12x + -10x 8nx = 12x + -10x Combine like terms: 12x + -10x = 2x 8nx = 2x Divide each side by '8x'. n = 0.25 Simplifying n = 0.25
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